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Finding the Fourth Proportional to 4,902.98, 6,766.08 and 2,807.11

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Solution

The fourth proportional to 4,902.98, 6,766.08 and 2,807.11 is: 3,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.98 : 6,766.08 = 2,807.11 : x
  2. Step 2: Convert to fraction form
    4,902.98/6,766.08 = 2,807.11/x
  3. Step 3: Cross multiply
    4,902.98x = 6,766.08 × 2,807.11
  4. Step 4: Simplify right side
    4,902.98x = 18,993,097.00
  5. Step 5: Solve for x
    x = 18,993,097.00/4,902.98
  6. Step 6: Final answer
    x = 3,873.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.